Hi there. I think it's fine to wish her HBD - as long as you do so without expectations. Not expecting/hoping for a reply. Not being disappointed if you don't get one...
But if you are happy to send a text - because you want to say HBD to your XW - and then let it go...go for it!
T 13 M 7 Me 48 H 46 SS 15 BD 7.14 PA D final 5.16 (H filed)
We receive & we lose, and must try to achieve gratitude & embrace with whole hearts whatever of life that remains after the losses - Dubus